Equation of Circle
A circle is the set of points which are equidistant from a point C(h,k) called as center. The fixed distance r from the center to any point on the circle is called as radius of the circle.
The standard equation of a circle having center C(h,k) and radius r given as follows:
(x - h)2 + (y - k)2 = r2
A circle is the set of points equidistant from the point C(h,k) called as center. The fixed distance r from the center to any point on the circle is called as radius of the circle.
The standard equation of a circle having center C(h,k) and radius r is given as follows:
(x - h)2 + (y - k)2 = r2
A circle is the set of all the points which are the same distance, r, from a fixed point.
General Formula: X 2 + Y 2=r2 where r is the radius
- Unlike parabolas, circles ALWAYS have X 2 and Y 2 terms. A circle is set of points which are equidistant from a point C(h,k) called as center. The fixed distance r from the center to any point on circle is called as radius of the circle.
In an x-y Cartesian coordinate system, the circle having center (a, b) and radius r is the set of all the points (x, y) such that(x - h)2 + (y - k)2 = r2
- This equation of the circle follows from Pythagorean theorem applied to any point on the circle, the radius is the hypotenuse of the right-angled triangle whose other sides are of length x-a and y-b.
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